How do you condense #5 ln x - 1/2 ln y +6 ln z #? Precalculus Properties of Logarithmic Functions Natural Logs 1 Answer Lucy Aug 3, 2018 #In((x^5z^6)/sqrty)# Explanation: #5Inx-1/2Iny+6Inz# #=Inx^5-Insqrty+Inz^6# #=In(x^5/sqrty)+Inz^6# #=In(x^5/sqrtytimesz^6)# #=In((x^5z^6)/sqrty)# Recall: #aInb=Inb^a# #Ina+Inb=In ab# #Ina-Inb=In(a/b)# Answer link Related questions What is the natural log of e? What is the natural log of 2? How do I do natural logs on a TI-83? How do I find the natural log of a fraction? What is the natural log of 1? What is the natural log of infinity? Can I find the natural log of a negative number? How do I find a natural log without a calculator? How do I find the natural log of a given number by using a calculator? How do I do natural logs on a TI-84? See all questions in Natural Logs Impact of this question 5588 views around the world You can reuse this answer Creative Commons License